Question

In: Statistics and Probability

Test the claim that the mean GPA of night students is larger than 3.3 at the...

Test the claim that the mean GPA of night students is larger than 3.3 at the .05 significance level.

The null and alternative hypothesis would be:

H0:p=0.825H0:p=0.825
H1:p≠0.825H1:p≠0.825

H0:μ=3.3H0:μ=3.3
H1:μ>3.3H1:μ>3.3

H0:μ=3.3H0:μ=3.3
H1:μ≠3.3H1:μ≠3.3

H0:p=0.825H0:p=0.825
H1:p<0.825H1:p<0.825

H0:μ=3.3H0:μ=3.3
H1:μ<3.3H1:μ<3.3

H0:p=0.825H0:p=0.825
H1:p>0.825H1:p>0.825



The test is:

right-tailed

two-tailed

left-tailed



Based on a sample of 45 people, the sample mean GPA was 3.32 with a standard deviation of 0.08

The test statistic is:  (to 2 decimals)

The critical value is:  (to 2 decimals)

Based on this we:

  • Fail to reject the null hypothesis
  • Reject the null hypothesis

Solutions

Expert Solution

The test is right sided test as the alternative hypothesis contains " > " sign.


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